Question

Rate change of momentum us is related to force. How

Answer 1

Its..You could say related to inertia..a particle in a particular motion or state continues to be so until something external disturbs it..nd this disturbance is MOSTLY a force..one or the other kind..nd momentum is a way to know abt inertia of a body..so I think as force is applied, it affects the body,breaking its inertia nd hence changing the momentum..so I believe that's how change in momentum per unit time (rate) is related to force

Answer 2

Answer:

Directly proportional

Explanation:

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Let initial momentum ($p_i$) be mu

Let final momentum ($p_f$) be mv

According to 2nd law of motion

$\frac{p_f - p_i}{t} \propto \: f$

$\implies \: f \propto \frac{mv \: - mu}{t}$

$\implies \: f \propto \frac{m(v - u)}{t}$

$f \propto \: ma \: \: \: \: \: \: ( \frac{v - u}{t } = a )$

To remove the proportionality sign. We would add k as the proportionality constant

$f = kma \\ f = ma \:$

because by the definition of force k = 1